2252303514120 has 256 divisors, whose sum is σ = 7497556577280. Its totient is φ = 536687078400.

The previous prime is 2252303514067. The next prime is 2252303514143. The reversal of 2252303514120 is 214153032522.

It is a super-2 number, since 2×2252303514120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40743219 + ... + 40798461.

It is an arithmetic number, because the mean of its divisors is an integer number (29287330380).

Almost surely, 2^{2252303514120} is an apocalyptic number.

2252303514120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252303514120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748778288640).

2252303514120 is an abundant number, since it is smaller than the sum of its proper divisors (5245253063160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2252303514120 is a wasteful number, since it uses less digits than its factorization.

2252303514120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55796 (or 55792 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 2252303514120 its reverse (214153032522), we get a palindrome (2466456546642).

The spelling of 2252303514120 in words is "two trillion, two hundred fifty-two billion, three hundred three million, five hundred fourteen thousand, one hundred twenty".